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Maria Luisa Dalla Chiara
Petr Ilaijek and Tomas Havranek
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analysis axiom axiomatic Birkhoﬁ Boolean algebra Borel calculus Carnap characterized Chiara classical logic concept conﬁrmation corresponding deﬁned deﬁnition denoted diﬁerent discussion eﬁect elements equivalent example ﬁeld ﬁnd ﬁnite ﬁrst ﬁrst-order formal formula foundations Fraassen function Giles given Gudder Havranek hidden variable Hilbert space hypothetical propositions identiﬁed iﬁ implication inductive logic inference inﬁnite interpretation intuitionistic intuitive Jauch Journal Kochen language mathe mathematical logic mathematicians Mittelstaedt modal logic Neumann non-classical notion objects observables operational orthomodular lattice outcome partial Boolean algebra philosophy of mathematics physical theory Piron poset possible prob problem proof properties pure quantiﬁers quantum logic quantum logical approaches quantum mechanics quantum theory Randall and Foulis real numbers recursion theory reﬂection relation represented residuated lattice rule satisﬁes scientiﬁc semantics sentences set theory signiﬁcant speciﬁc statistical structure sublattice subresiduated lattices subsets subspace theoretical thesis true truth-value University valuation